Given numbers are 982,768,128,506

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 982,768,128,506 is 95403264.

Find LCM of 982,768,128,506 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 491 x 6 x 1 x 253 = 95403264

Therefore, the lowest common multiple of 982,768,128,506 is 95403264.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

982 x 768 x 128 x 506 = 48846471168

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

982 : 1, 2, 491, 982

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

128 : 1, 2, 4, 8, 16, 32, 64, 128

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,768,128,506, is 2.

Now, the common factors can be found like this.

982:2x 491

768:2x 2x 2x 2x 2x 2x 2x 2x 3

128:2x 2x 2x 2x 2x 2x 2

506:2x 11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 48846471168/(2x256)

LCM = 48846471168/512

LCM = 95403264

Thus, we can understand that the LCM of 982,768,128,506 is 95403264.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 902, 546, 760, 195
• LCM of 215, 532, 838, 261
• LCM of 675, 739, 485, 896
• LCM of 723, 780, 314, 569
• LCM of 983, 304, 520, 349

1. What is the LCM of 982, 768, 128, 506?

Answer: LCM of 982, 768, 128, 506 is 95403264.

2. How to calculate the LCM of 982, 768, 128, 506?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 982, 768, 128, 506.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.